Coset construction for duals of non-relativistic CFTs

Author: 

Schaefer-Nameki, S
Yamazaki, M
Yoshida, K

Publication Date: 

May 2009

Journal: 

JOURNAL OF HIGH ENERGY PHYSICS

Last Updated: 

2018-10-09T08:01:09.177+01:00

Volume: 

2009

DOI: 

10.1088/1126-6708/2009/05/038

Issue: 

5

abstract: 

We systematically analyze backgrounds that are holographic duals to non-relativistic CFTs, by constructing them as cosets of the Schrödinger group and variants thereof. These cosets G/H are generically non-reductive and we discuss in generality how a metric on such spaces can be determined from a non-degenerate H-invariant symmetric two-form. Applying this to the d = 2 Schrödinger algebra, we reproduce the five-dimensional backgrounds proposed as duals of fermions at unitarity, and under reasonable physical assumptions, we demonstrate uniqueness of this background. The proposed gravity dual of the Lifshitz fixed-point, for which Galileian symmetry is absent, also fits into this organizational scheme and uniqueness of this background can also be shown. © 2009 SISSA.

Symplectic id: 

645338

Download URL: 

Submitted to ORA: 

Not Submitted

Publication Type: 

Journal Article